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We construct a density functional for the lattice gas / Ising model on square and cubic lattices based on lattice fundamental measure theory. In order to treat the nearest-neighbor attractions between the lattice gas particles, the model is…

Statistical Mechanics · Physics 2021-08-25 M. Maeritz , M. Oettel

A fully anisotropic simple-cubic Ising lattice in the geometry of periodic cylinders $n\times n\times\infty$ is investigated by the transfer-matrix finite-size scaling method. In addition to the previously obtained critical amplitudes of…

Condensed Matter · Physics 2007-05-23 M. A. Yurishchev

In this paper we study the work of Leinweber by applying the Continuum Model of QCD Sum Rules (QCDSR) to the analysis of (quenched) lattice correlation functions. We expand upon his work in several areas: we study meson states as well as…

High Energy Physics - Lattice · Physics 2009-10-30 Chris Allton , Stefano Capitani

We present results of Monte Carlo study of the monomer-monomer correlation functions, static structure factor and asphericity characteristics of a single homopolymer in the coil and globular states for three distinct architectures of the…

Soft Condensed Matter · Physics 2009-11-07 Edward G. Timoshenko , Yuri A. Kuznetsov , Ronan Connolly

We investigate the long distance asymptotics of various correlation functions for the one-dimensional spin-1/2 Fermi gas with attractive interactions using the dressed charge formalism. In the spin polarized phase, these correlation…

Quantum Gases · Physics 2015-05-28 J. Y. Lee , X. W. Guan

We derive a simple analytical expression for the level correlation function of an integrable system. It accounts for both the lack of correlations at smaller energy scales and for global rigidity (level number conservation) at larger…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 R. A. Serota , J. M. A. S. P. Wickramasinghe

We study the spin-spin correlation function in or near the T=0 ground state of the antiferromagnetic Ising model on a triangular lattice. At zero temperature its modulation on the sublattices gives rise to two Bragg peaks in the structure…

Statistical Mechanics · Physics 2008-02-03 Jesper Lykke Jacobsen , Hans C. Fogedby

We study charmonium correlators at finite temperature using quenched lattice QCD simulations. Two analysis procedures are applied to extract information on the spectral function: the maximum entropy method, and the $\chi^2$ fit analyses…

High Energy Physics - Lattice · Physics 2017-08-23 Hideo Matsufuru , Takashi Umeda , Kouji Nomura

We consider the spin k/2 analogue of the XXZ quantum spin chain. We compute the entanglement entropy S associated with splitting the infinite chain into two semi-infinite pieces. In the scaling limit, we find S ~ c_k/6 (ln(xi))+ln(g)+... .…

Mathematical Physics · Physics 2011-02-16 Robert Weston

We introduce the phase model on a lattice and solve it using the algebraic Bethe ansatz. Time-dependent temperature correlation functions of phase operators and the "darkness formation probability" are calculated in the thermodynamical…

solv-int · Physics 2009-10-30 N. M. Bogoliubov , A. G. Izergin , N. A. Kitanine

We compute a set of correlation functions of operator insertions on the 1/8 BPS Wilson loop in $\mathcal{N}=4$ SYM by employing supersymmetric localization, OPE and the Gram-Schmidt orthogonalization. These correlators exhibit a simple…

High Energy Physics - Theory · Physics 2018-11-09 Simone Giombi , Shota Komatsu

We consider a one-parameter family of invertible maps of a two-dimensional lattice, obtained by applying round-off to planar rotations. All orbits of these maps are conjectured to be periodic. We let the angle of rotation approach pi/2, and…

Dynamical Systems · Mathematics 2014-06-02 Heather Reeve-Black

Non-perturbatively computing the hadronic vacuum polarization at large photon virtualities and making contact with perturbation theory enables a precision determination of the electromagnetic coupling at the $Z$ pole, which enters global…

High Energy Physics - Lattice · Physics 2022-01-19 Marco Cè , Tim Harris , Harvey B. Meyer , Arianna Toniato , Csaba Török

Lattice models are useful for understanding behaviors of interacting complex many-body systems. The lattice dimer model has been proposed to study the adsorption of diatomic molecules on a substrate. Here we analyze the partition function…

Statistical Mechanics · Physics 2016-12-21 Nickolay Sh. Izmailian , Ming-Chya Wu , Chin-Kun Hu

Using the monomer--dimer representation of the lattice Schwinger model, with $N_f =1$ Wilson fermions in the strong--coupling regime ($\beta=0$), we evaluate its partition function, $Z$, exactly on finite lattices. By studying the zeroes of…

High Energy Physics - Lattice · Physics 2009-10-22 F. Karsch , E. Meggiolaro , L. Turko

We study the 2-dimensional Ising model at critical temperature on a simply connected subset $\Omega_{\delta}$ of the square grid $\delta\mathbb{Z}^{2}$. The scaling limit of the critical Ising model is conjectured to be described by…

Mathematical Physics · Physics 2018-11-26 Reza Gheissari , Clément Hongler , S. C. Park

The half-infinite XXZ spin chain with a triangular boundary is considered in the massive regime. Two integral representations of correlation functions are proposed using bosonization. Sufficient conditions such that the expressions for…

Mathematical Physics · Physics 2014-08-27 Pascal Baseilhac , Takeo Kojima

We derive algebraic formulas for the density matrices of finite segments of the integrable su(2) isotropic spin-1 chain in the thermodynamic limit. We give explicit results for the 2 and 3 site cases for arbitrary temperature T and zero…

Statistical Mechanics · Physics 2015-06-15 Andreas Klümper , Dominic Nawrath , Junji Suzuki

We study $(m)$-type connected correlation functions of OPE blocks with respect to one spatial region in two dimensional conformal field theory. We find logarithmic divergence for these correlation functions. We justify the logarithmic…

High Energy Physics - Theory · Physics 2020-01-16 Jiang Long

Nearly-logarithmic decay of correlations, which was observed for several supercooled liquids in optical-Kerr-effect experiments [G. Hinze et al. Phys. Rev. Lett. 84, 2437(2000), H. Cang et al. Phys. Rev. Lett. 90, 197401 (2003)], is…

Disordered Systems and Neural Networks · Physics 2007-05-23 W. Gotze , M. Sperl